{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "%matplotlib inline\n",
    "from ggplot import *\n",
    "import pandas as pd"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### `scale_x_log`\n",
    "`scale_x_log` applies a logarithmic scale to your x-axis. Its parameters are:\n",
    "\n",
    "- `base` - base value logarithm. defaults to 10"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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IaFJ44iTR3TFsExERzSNzKeDyxEmiu2PYJiIimkfmUsDliZNEd8ewPYzT6YQgCFCro+dt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sUi4XCYjRs3kkql0Gq1mM1mXnrpJQKBADqdTlgkmkwmYVnocDgolUp0dXWJAU2FQoFGo0GlUgn9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\nIiJKEibbRERERERJ8v8AeZvA+g1auxsAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x1156f26d0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/plain": [
       "<ggplot: (292637265)>"
      ]
     },
     "execution_count": 7,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "ggplot(diamonds, aes(x='price', y='carat')) + \\\n",
    "    geom_point() + \\\n",
    "    scale_x_log()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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ZHh5e2oQAAPAaLSlyP/OZz+Suu+5KrVabv2xiYiKdnZ1JkvXr12diYmJpEwIAwGu06HNy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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x104819cd0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/plain": [
       "<ggplot: (284496621)>"
      ]
     },
     "execution_count": 3,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "ggplot(pigeons, aes(x='speed')) + \\\n",
    "    geom_histogram() + \\\n",
    "    scale_x_log(base=2)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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fxx9/fA4vGQAAJrtoKF68eHGuvPLKJElbW1ve/va3Z2BgIIcPH86aNWuSJDfddFMOHz6c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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x110326390>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/plain": [
       "<ggplot: (285426089)>"
      ]
     },
     "execution_count": 4,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "ggplot(diamonds, aes(x='price')) + \\\n",
    "    geom_histogram() + \\\n",
    "    scale_x_log()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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Wmpubq8jaWH6SyaQSiUTqPZH+/sjWzlczGTN5lGQ0lq9t0s9VK5VXAPBq+3w+1dfXa3Jy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\nAABgPUIxAAAArPf/AGYyeUT36VJbAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x110aa03d0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/plain": [
       "<ggplot: (285785261)>"
      ]
     },
     "execution_count": 6,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "ggplot(diamonds, aes(x='price')) + \\\n",
    "    geom_histogram() + \\\n",
    "    scale_x_log(base=100)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 2",
   "language": "python",
   "name": "python2"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 2
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython2",
   "version": "2.7.11"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 0
}
